Sylvia Ashton-Warner, 1908-1984

Sylvia Xin

Solid-state nanofluidic devices have proven to be ideal systems to elucidate the physics of nanoscale ion transport. When the device confinement approaches the Debye length of ions in the fluid, new phenomena occur such as surface-charge-dominated transport and ion-selectivity. Although these effects have been understood for simple monovalent systems, application-critical divalent systems have ...

Coordination Capacity Paul Warner

We develop elements of a theory of cooperation and coordination in networks. Rather than considering a communication network as a means of distributing information, or of reconstructing random processes at remote nodes, we ask what dependence can be established among the nodes given the communication constraints. Specifically, in a network with communication rates between the nodes, we ask what...

E. H. Warner

Homer Richards Warner, 1922–2012

Homer, the ancient Greek poet (8th or 7th century BC) was the reator of the Iliad, an epic poem of dactylic hexameters that tells s the history of the Trojan, and also – as a kind of sequel – the dyssey that tells us about the hero Odysseus’ journey home after he fall of Troy in dactylic hexameters. Homer Richards Warner (1922–2012), the US-American cardilogist was the creator of ILIAD and ODYS...

Kazdan-Warner equation on graph

Let G = (V, E) be a connected finite graph and ∆ be the usual graph Laplacian. Using the calculus of variations and a method of upper and lower solutions, we give various conditions such that the Kazdan-Warner equation ∆u = c− heu has a solution on V , where c is a constant, and h : V → R is a function. We also consider similar equations involving higher order derivatives on graph. Our results ...